It is better to solve one problem five different ways, than to solve five problems one way.

Geometry is the science of correct reasoning on incorrect figures.

Success in solving the problem depends on choosing the right aspect, on attacking the fortress from its accessible side.

If the proof starts from axioms, distinguishes several cases, and takes thirteen lines in the text book ... it may give the youngsters the impression that mathematics consists in proving the most obvious things in the least obvious way.

What is the difference between method and device? A method is a device which you use twice.

There are many questions which fools can ask that wise men cannot answer.

A great discovery solves a great problem, but there is a grain of discovery in the solution of any problem. Your problem may be modest, but if it challenges your curiosity and brings into play your inventive faculties, and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.